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\(K\)-homology and Fredholm operators. I: Dirac operators - MaRDI portal

\(K\)-homology and Fredholm operators. I: Dirac operators (Q1629700)

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\(K\)-homology and Fredholm operators. I: Dirac operators
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    \(K\)-homology and Fredholm operators. I: Dirac operators (English)
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    12 December 2018
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    This expository paper proves the Atiyah-Singer index theorem for Dirac operators as a corollary of Bott periodicity. In this interesting paper, authors give a simple exposition of the topological proof of Atiyah-Singer. The proof given here has the merit that it applies with no essential changes to the equivariant case and the families case.
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    Dirac operator
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    Atiyah-Singer index theorem
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    Bott periodicity
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